Domain-Range Graphing f(x) Notation Calculating Slope Functions Domain-Range Graphing f(x) Notation Calculating Slope
Domain-Range The collection of all input values is called the “Domain”. Most likely will be the x-values. The collection of all output values is called the “Range”. Most likely will be the y-values. A relation is a function if and only if each input corresponds to one output.
Identify the Domain & Range Is the relation a function?
Identify the Domain & Range Is the relation a function?
Identify the Domain & Range Is the relation a function?
Graphing Using Input-Output Tables Take each input-value and plug it in. Plot the point. Graph the line. y x 10 -8 -4 2 6 -10 -2 8 -6 4 2(0)+1 = 1 5 7
You Try One! y x 10 -8 -4 2 6 -10 -2 8 -6 4 10 4 -6
Try Another One! y x 10 -8 -4 2 6 -10 -2 8 -6 4 -3 1 5 9
f(x) Notation Plug in. Evaluate.
You Try Some!
Calculating Slope (2, 5) and (-1, -4) (-6, 7) and (6, 3) Positive Rises (2, 5) and (-1, -4) (-6, 7) and (6, 3) (2, 1) and (4, 1) (4, 3) and (4, 8) m = 3 Negative Falls m = -1/3 Zero Horizontal m = 0 Undefined Vertical m is undefined
Parallel vs. Perpendicular Parallel Lines have the same slope different y-intercepts. Perpendicular lines have opposite-reciprocal slopes.
Tonight’s HW 2.1 #20-38Even 2.2 #20-30Even, 32-35, 41-44 Have fun